Important for :

1

» Explain it
^{16}C_{2}

Hence, option B is correct.

B

Total possible ways = = | 16 × 15 | = 120 |

2 × 1 |

Hence, option B is correct.

2

A

The word 'LOGARITHMS'' has 10 different alphabets

Hence, the number of 3-letter words (with or without meaning) formed by using these letters = (^{10}P_{3})

= 10 × 9 × 8 = 720

Therefore, option (A) is correct.

Hence, the number of 3-letter words (with or without meaning) formed by using these letters = (

= 10 × 9 × 8 = 720

Therefore, option (A) is correct.

3

E

The total no. of letters in the word POPULAR is 7 where P appears twiceReqd no. of ways = | 7! | |

2! |

= 7 × 6 × 5 × 4 × 3 = 2520.

Hence, option E is correct.

4

B

A team of seven children consisting of at least five girls can be formed in the following waysReqd no. of selections =

= | 7 × 6 | × | 5 × 4 | + 7 × | 5 | + 1 |

2 | 2 | 1 |

= 21 × 10 + 7 × 5 + 1 = 210 + 35 + 1 = 246

Hence, option B is correct.

5

» Explain it

Hence, option A is correct.

A

Required no. of ways = | 6! | = 360 ways |

2! |

Hence, option A is correct.